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Simplifying 10(7c + -1) + -18 = 68c + 10 Reorder the terms: 10(-1 + 7c) + -18 = 68c + 10 (-1 * 10 + 7c * 10) + -18 = 68c + 10 (-10 + 70c) + -18 = 68c + 10 Reorder the terms: -10 + -18 + 70c = 68c + 10 Combine like terms: -10 + -18 = -28 -28 + 70c = 68c + 10 Reorder the terms: -28 + 70c = 10 + 68c Solving -28 + 70c = 10 + 68c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-68c' to each side of the equation. -28 + 70c + -68c = 10 + 68c + -68c Combine like terms: 70c + -68c = 2c -28 + 2c = 10 + 68c + -68c Combine like terms: 68c + -68c = 0 -28 + 2c = 10 + 0 -28 + 2c = 10 Add '28' to each side of the equation. -28 + 28 + 2c = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 2c = 10 + 28 2c = 10 + 28 Combine like terms: 10 + 28 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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